自适应学习-基于大洪水的超启发式求解交叉优化问题域

Widya Saputra, A. Muklason, Baiq Z.H. Rozaliya
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摘要

在文献中,几乎所有NP-hard类的优化问题都是用元启发式方法解决的。然而,这种方法的缺点是需要为每个不同的问题域和同一问题的不同实例调优参数。人们认为这种方法在解决这些问题方面效果较差。因此,需要一种新的方法,即能够解决跨领域问题的超启发式方法。超启发式是一种近似搜索方法,它能够在多项式时间内解决np困难问题,并给出相当好的和可接受的结果。该方法具有搜索空间的两个性质,即LLH的选择和解的接受(移动接受)。这种方法适用于障碍领域,而不是直接适用于问题领域。有了这些特性,超启发式能够解决不同领域的问题。此外,超启发式还具有通过先前生成的解决方案的反馈来学习的机制。这个最终的项目尝试在六个组合优化问题领域中应用超启发式算法,即SAT, Bin Packing, Flow Shop, Personnel Scheduling, TSP和VRP。在这个期末项目中使用的方法是自适应-大洪水(SAD-GED)。在超启发式框架中,自适应机制用于做出LLH选择,而大洪水机制用于确定解决方案的接受度(移动接受度)。应用SAD-GED算法有望提供比之前使用的简单随机模拟退火算法更好的结果。
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Self Adaptive Learning – Great Deluge Based Hyper-heuristics for Solving Cross Optimization Problem Domains
In the literature, almost all optimization problems in NP-hard class are solved by meta-heuristics approach. However, this approach has the drawback of requiring tuning parameters for each different problem domain and different instances of the same problem. This approach is considered less effective in resolving these problems. Therefore, a new approach is needed, namely the hyper-heuristics approach that is able to solve cross-domain problems. Hyper-heuristic is one of the approximate search methods which is able to provide solutions to NP-hard problems in polynomial time, as well as giving fairly good and acceptable results. This method has two properties of search space, namely the selection of LLH and the acceptance of solutions (move acceptance). This approach works in barrier domains rather than directly working in problem domains. With these properties, hyper-heuristic is able to solve problems in different domains. In addition, hyper-heuristics has a learning mechanism through feedback from previously generated solutions. This final project tries to apply a hyperheuristic algorithm in six combinatorial optimization problem domains, namely SAT, Bin Packing, Flow Shop, Personnel Scheduling, TSP, and VRP. The method that will be used in this final project is Self Adaptive - Great Deluge (SAD-GED). The Self Adaptive mechanism is used to make LLH selection to be used, while the Great Deluge is used in determining the acceptance of solutions (move acceptance) in a hyperheuristic framework. The application of the SAD-GED algorithm is expected to be able to provide better results than the existing algorithm used previously, namely Simple Random - Simulated Annealing.
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